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Finding the Fourth Proportional to 11,957.64, 17,936.28 and 5,379.18

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Solution

The fourth proportional to 11,957.64, 17,936.28 and 5,379.18 is: 8,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.64 : 17,936.28 = 5,379.18 : x
  2. Step 2: Convert to fraction form
    11,957.64/17,936.28 = 5,379.18/x
  3. Step 3: Cross multiply
    11,957.64x = 17,936.28 × 5,379.18
  4. Step 4: Simplify right side
    11,957.64x = 96,482,478.65
  5. Step 5: Solve for x
    x = 96,482,478.65/11,957.64
  6. Step 6: Final answer
    x = 8,068.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.